What are the mean and variance of sampling distribution


Given a population with a mean of µ = 100 and a variance of σ2 = 900, the central limit applies when the sample size of n ≥ 25. A random sample of size n = 30 is obtained.

a) What are the mean and variance of the sampling distribution for the sample means?
b) What is the probability that x¯ > 109?
c) What is the probability that 96 ≤ x¯ ≤ 110?
d) What is the probability that x¯ ≤ 107?

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Basic Statistics: What are the mean and variance of sampling distribution
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